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Finding the Fourth Proportional to 4,863.66, 6,711.71 and 3,542.96

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Solution

The fourth proportional to 4,863.66, 6,711.71 and 3,542.96 is: 4,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.66 : 6,711.71 = 3,542.96 : x
  2. Step 2: Convert to fraction form
    4,863.66/6,711.71 = 3,542.96/x
  3. Step 3: Cross multiply
    4,863.66x = 6,711.71 × 3,542.96
  4. Step 4: Simplify right side
    4,863.66x = 23,779,268.79
  5. Step 5: Solve for x
    x = 23,779,268.79/4,863.66
  6. Step 6: Final answer
    x = 4,889.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.